Consider the following differential equation. cos(x) + (sin()y = 1 Find the coefficient function P(x) when the given differential equation is written in the standard form + PW)y = rx). Find the integrating factor for the differential equation. Find the general solution of the given differential equation. Give the largest interval I over which the general solution is defined. (Think about the implications of any singular points. Enter your answer using interval notation.) O (0, m) 0 (-, m) O (-1, 1) Determine whether there are any transient terms in the general solution. (Enter the transient terms as a comma-separated list; if there are none, enter NONE.) NONE

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